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As an electron makes a transition from a...

As an electron makes a transition from an excited state to the ground state of a hydrogen like atom/ion
(a) kinetic energy, potential energy and total energy decrease
(b) kinetic energy decreases, potential energy increases but total energy remains same
(c ) kinetic energy and total energy decrease but potential energy increases
(d) its kinetic energy increases but potential energy and total energy decrease

Text Solution

Verified by Experts

The correct Answer is:
D

The expressions of kinetic energy, potential energy
and total energy are
`K_n = (me^4)/(8epsilon_0^2n^2h^2) rArr K_n prop (1)/(n^2)`
`U_n = (-me^4)/(4epsilon_0^2n^2h^2) rArr `U_n prop - (1)/(n^2)` and
`E_n = (-me^4)/(8epsilon_0^2n^2h^2) rArr E_n prop -(1)/(n^2)`
in the transition from some excited state to ground
state, the value of n decreases, therefore kinetic
energy increases, but potential and total energy decrease.
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